The top-quark Yukawa coupling \((y_t)\)  is the strongest interaction of the Higgs boson in the Standard Model (SM) with \(y_t \sim 1\) . Owing to its magnitude, it plays a central role in Higgs phenomenology in the SM and could be most sensitive to physics beyond the Standard Model (BSM) associated with the electroweak symmetry breaking [1]}. It is crucial for the stability of the SM vacuum during the electroweak phase transition in the early universe [2]}, [3]}. It yields the largest quantum correction to the Higgs boson mass and can trigger the electroweak symmetry breaking in many well-motivated new physics scenarios [4]}, [5]}, [6]}, [7]}, [8]}, [9]}. Thus, the precise measurement of \(y_t\)  can be fundamental to pin down possible new physics effects.
